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400044404408 = 2311223241251337
BaseRepresentation
bin1011101001001001000…
…00010010111010111000
31102020120210010100101112
411310210200102322320
523023242331420113
6503440003535452
740621321221635
oct5644440227270
91366523110345
10400044404408
11144726701060
126564608a588
132b9548b783c
141551004118c
15a61576a5a8
hex5d24812eb8

400044404408 has 128 divisors (see below), whose sum is σ = 831099709440. Its totient is φ = 179020800000.

The previous prime is 400044404399. The next prime is 400044404423. The reversal of 400044404408 is 804404440004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1187075216 + ... + 1187075552.

It is an arithmetic number, because the mean of its divisors is an integer number (6492966480).

Almost surely, 2400044404408 is an apocalyptic number.

It is an amenable number.

400044404408 is an abundant number, since it is smaller than the sum of its proper divisors (431055305032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400044404408 is a wasteful number, since it uses less digits than its factorization.

400044404408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

The spelling of 400044404408 in words is "four hundred billion, forty-four million, four hundred four thousand, four hundred eight".

Divisors: 1 2 4 8 11 22 44 88 223 241 251 337 446 482 502 674 892 964 1004 1348 1784 1928 2008 2453 2651 2696 2761 3707 4906 5302 5522 7414 9812 10604 11044 14828 19624 21208 22088 29656 53743 55973 60491 75151 81217 84587 107486 111946 120982 150302 162434 169174 214972 223892 241964 300604 324868 338348 429944 447784 483928 591173 601208 615703 649736 665401 676696 826661 893387 930457 1182346 1231406 1330802 1653322 1786774 1860914 2364692 2462812 2661604 3306644 3573548 3721828 4729384 4925624 5323208 6613288 7147096 7443656 13489493 18111391 18862901 20385467 26978986 36222782 37725802 40770934 53957972 72445564 75451604 81541868 107915944 144891128 148384423 150903208 163083736 199225301 207491911 224240137 296768846 398450602 414983822 448480274 593537692 796901204 829967644 896960548 1187075384 1593802408 1659935288 1793921096 4545959141 9091918282 18183836564 36367673128 50005550551 100011101102 200022202204 400044404408